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This is a Quantitative Study study.

October 12, 2025Open Access

Strong instability of standing waves for a system of nonlinear Klein-Gordon equations with quadratic interaction

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Strong instability of standing wave solutions was confirmed, indicating significant behavior in the system.
The study involved nonlinear Klein-Gordon equations across two and three spatial dimensions.
No mass resonance condition was assumed, highlighting a broader applicability of results.
The findings suggest potential implications for understanding wave dynamics in various physical systems.

Implication

Analysis reveals strong instability of standing waves in nonlinear Klein-Gordon equations, suggesting wider implications for wave behavior.

Abstract

We consider a system of nonlinear Klein-Gordon equations with quadratic interaction in two and three space dimensions. The strong instability of standing wave solutions is studied for the system without assuming the mass resonance condition.

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Cite This Study

Masahito Ohta (2025) studied this question.

synapsesocial.com/papers/68ec1be02b8fa9b2b78ad10f https://doi.org/10.48550/arxiv.2509.06583

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Implication

Analysis reveals strong instability of standing waves in nonlinear Klein-Gordon equations, suggesting wider implications for wave behavior.

Strong instability of standing waves for a system of nonlinear Klein-Gordon equations with quadratic interaction

Key Points

Implication

Abstract

Discussion

Cite This Study

Strong instability of standing waves for a system of nonlinear Klein-Gordon equations with quadratic interaction

Key Points

Implication

Abstract

Discussion

Cite This Study

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